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Finding the Fourth Proportional to 41,442.66, 57,238.38 and 27,358.38

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Solution

The fourth proportional to 41,442.66, 57,238.38 and 27,358.38 is: 37,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,442.66 : 57,238.38 = 27,358.38 : x
  2. Step 2: Convert to fraction form
    41,442.66/57,238.38 = 27,358.38/x
  3. Step 3: Cross multiply
    41,442.66x = 57,238.38 × 27,358.38
  4. Step 4: Simplify right side
    41,442.66x = 1,565,949,350.62
  5. Step 5: Solve for x
    x = 1,565,949,350.62/41,442.66
  6. Step 6: Final answer
    x = 37,785.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.